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Finding the Fourth Proportional to 2,868.97, 4,303.36 and 816.97

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Solution

The fourth proportional to 2,868.97, 4,303.36 and 816.97 is: 1,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.97 : 4,303.36 = 816.97 : x
  2. Step 2: Convert to fraction form
    2,868.97/4,303.36 = 816.97/x
  3. Step 3: Cross multiply
    2,868.97x = 4,303.36 × 816.97
  4. Step 4: Simplify right side
    2,868.97x = 3,515,692.46
  5. Step 5: Solve for x
    x = 3,515,692.46/2,868.97
  6. Step 6: Final answer
    x = 1,225.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.